Symmetries and Integrability of Difference Equations

Describes how some techniques traditionally used with linear and nonlinear differential equations are now being applied to the symmetries and integrability of difference and q -difference equations and the theory of special functions that occur as solutions of such equations. The topics include Lie group and quantum group symmetries, integrable and non-integrable discretizations of continuous integrable systems, the discrete PainlevT property and singularity confinement, integrable mappings, and applications in statistical mechanics and field theories. The 35 papers are from a May 1994 workshop in Est e rel, Quebec. No index. Member prices are $59 for individuals and $78 for institutions. Annotation c. by Book News, Inc., Portland, Or.

A comprehensive introduction to the subject suitable for graduate students and researchers. This book is also an up-to-date survey of the current state of the art and thus will serve as a valuable reference for specialists in the field.